Compound Interest Calculator
Free compound interest calculator — see the compound interest formula in action
Put in a starting amount, anything you'll add regularly, the interest rate and how often it compounds, and you'll see the balance grow year by year. Compounding is the reason long-term saving rewards patience so heavily — the interest itself starts earning interest — and the table below makes that snowball visible rather than abstract.
Investment Details
Results
Year-by-Year Breakdown
| Year | Balance | Interest That Year | Total Interest |
|---|
🧮 How this is calculated ▼
Compound interest uses the formula:
A = P × (1 + r ÷ n)n·t
P = starting amount · r = annual interest rate · n = times interest compounds per year · t = number of years.
The magic is that each period's interest is added to the balance, so the next period earns interest on interest. Compounding more often (monthly vs yearly) grows slightly faster. Regular contributions are added each period and compound too — which is why starting early matters far more than the amount.
❓ Frequently Asked Questions
What is compound interest? ▼
Compound interest means you earn interest not just on your original principal but also on the interest already accumulated. Over time this creates exponential growth — the longer money is invested, the faster it grows relative to simple interest (which is only calculated on the original principal).
What is the compound interest formula? ▼
A = P(1 + r/n)^(nt) + PMT × [(1 + r/n)^(nt) − 1] / (r/n), where P is the principal, r is the annual rate, n is the number of compounding periods per year, t is years, and PMT is regular contribution. The calculator handles all of these inputs.
How often should interest compound for the best returns? ▼
More frequent compounding produces slightly higher returns. Daily compounding beats monthly, which beats quarterly, which beats annually — but the differences are usually small. For most savings accounts and ISAs, monthly compounding is standard.
How long does it take to double my money? ▼
Use the Rule of 72 as a quick estimate: divide 72 by your annual interest rate. At 6% annual return, money doubles in roughly 72 ÷ 6 = 12 years. At 8%, about 9 years. The calculator shows the exact figure in the year-by-year table.
What is the difference between compound and simple interest? ▼
Simple interest only applies to the original principal (e.g. 5% of £1,000 = £50 per year, every year). Compound interest also applies to previously earned interest, so the £50 interest from year 1 also earns interest in year 2, growing your balance faster over time.
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